Why focus on just CS and engineering degrees? I was a Physics student, knew more about code than some CS undergrads and wasn't alone in that regard. You'll also find a lot of generally smart people who you can teach to code here.
I'll second the point many have made about money. It's hard to resist one of the big banks offering you £40k+ straight out of university.
I'll second the point many have made about money. It's hard to resist one of the big banks offering you £40k+ straight out of university.